Fixed point theorems in controlled rectangular metric spaces

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2023, v.30 no.2, pp.169-190

https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.169

Mohamed Rossafi (LaSMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah)
Abdelkarim Kari (AMS Laboratory Faculty of Sciences Ben MSik, Hassan II University)

Mohamed Rossafi, & Abdelkarim Kari. (2023). FIXED POINT THEOREMS IN CONTROLLED RECTANGULAR METRIC SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 30(2), 169-190, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.169

복사

Abstract

In this paper, we introduce an extension of rectangular metric spaces called controlled rectangular metric spaces, by changing the rectangular inequality in the definition of a metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our main results extends and improves many results existing in the literature. Moreover, an illustrative example is presented to support the obtained results.

keywords: fixed point, controlled metric type space, extended rectangular b-metric space

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논문 상세

Vol.30 No.2

FIXED POINT THEOREMS IN CONTROLLED RECTANGULAR METRIC SPACES

Fixed point theorems in controlled rectangular metric spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학